OCR MEI
Further Pure Core AS
2023
June
— Question 7
Exam Board
OCR MEI
Module
Further Pure Core AS (Further Pure Core AS)
Year
2023
Session
June
Topic
Complex numbers 2
By expanding \(( \sqrt { 3 } + \mathrm { i } ) ^ { 5 }\), express \(z ^ { 5 }\) in the form \(\mathrm { a } +\) bi where \(a\) and \(b\) are real and exact.
Express \(z\) in modulus-argument form.
Hence find \(z ^ { 5 }\) in modulus-argument form.
Use this result to verify your answers to part (a).